Group Theoretical Foundations of Quantum Mechanics

About the Book

Quantum mechanics, its properties including wavefunctions, complex numbers and uncertainty, are necessary and completely reasonable and understandable, with no weirdness. Classical physics is impossible. Much uncertainty comes from Fourier analysis. Waves and particles and collapse of wavefunctions are meaningless. Their seeming appearance in analyzed. Reasons and limitations of superposition are considered. Gravitation is an example of nonlinearity. All objects interact so nonlinearity is universal. How quantum mechanics then fits in is shown. Dirac's equation comes from Poincaré group. Physics is necessarily impossible in any space but that with dimension 3+1. Spin-statistics is a property of rotation groups.

About the Author

R. Mirman is the author of Group Theory: An Intuitive Approach; Group Theoretical Foundations of Quantum Mechanics; Massless Representations of the Poincare Group: electromagnetism, gravitation, quantum mechanics, geometry; Point Groups, Space Groups, Crystals, Molecules; Quantum Mechanics, Quantum Field Theory: geometry, language, logic; and Quantum Field Theory, Conformal Group Theory, Conformal Field Theory: Mathematical and conceptual foundations, physical and geometrical applications.